Question
Which of the following are measures of dispersion?
A. Standard Deviation
B. Quartile Deviation
C. Mode
D. Variance
E. Range
Choose the correct answer from the options given below:
The correct answer is
A, B, D, E Only
Dispersion Measures Explained
Measures of dispersion quantify the spread or variability of data points in a dataset. Let's analyze the given options:
- Standard Deviation (A): Measures the average amount of variability in the data. It's a key measure of dispersion.
- Quartile Deviation (B): Measures the spread of the middle 50% of the data. It's also a measure of dispersion.
- Mode (C): Represents the most frequently occurring value in a dataset. It is a measure of central tendency, not dispersion.
- Variance (D): The square of the standard deviation, indicating the degree of data spread. It's a measure of dispersion.
- Range (E): The difference between the highest and lowest values in a dataset. It's the simplest measure of dispersion.
Identifying Correct Measures
Based on the analysis, the measures of dispersion from the list are:
- Standard Deviation (A)
- Quartile Deviation (B)
- Variance (D)
- Range (E)
The mode (C) is a measure of central tendency.
Conclusion
Therefore, the correct set of measures of dispersion includes A, B, D, and E.
The correct option is the one listing A, B, D, E Only.
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Important Questions from Measures of Dispersion
If for a moderately symmetrical distribution mean deviation is 12, then the value of standard deviation is
Variance is independent of change of :
- Mean (M) and Standard Deviation (S) of different datasets are given in A-D below. Compute the coefficient of variation of each dataset and arrange in ascending order.
A. M = 60, S = 14
B. M = 70, S = 16
C. M = 80, S = 5
D. M = 90, S = 4
Choose the correct answer from the options given below: - Which of the following are methods of dispersion ?
A. Median
B. Mean
C. Mean deviation
D. Standard deviation
E. Range
Choose the correct answer from the options given below : - Mean (M) and coefficient of variation (CV expressed as a percentage) of different datasets are given in A-D below. Compute the standard deviation of each dataset and arrange in ascending order.
A. M = 60, CV = 70/3
B. M = 80, CV = 6.25
C. M = 70, CV = 160/7
D. M = 90, CV = 40/9
Choose the correct answer from the options given below:
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